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Finding the Fourth Proportional to 279.52, 415.94 and 269.80

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Solution

The fourth proportional to 279.52, 415.94 and 269.80 is: 401.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.52 : 415.94 = 269.80 : x
  2. Step 2: Convert to fraction form
    279.52/415.94 = 269.80/x
  3. Step 3: Cross multiply
    279.52x = 415.94 × 269.80
  4. Step 4: Simplify right side
    279.52x = 112,218.22
  5. Step 5: Solve for x
    x = 112,218.22/279.52
  6. Step 6: Final answer
    x = 401.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.